Your first one I believe is
Moon Valley Pilea (Pilea mollis)
Mine definitely does not like any sun. And doesn't seem to enjoy going completely dry.
Dracaenas can be a challenge for me too. I tend to "love" them too much. (water)
They do appreciate a bit of humidity, but also enjoy becoming "barely" dry. They don't like "wet feet" so to speak. You can trim off the brown edges to clean it up a bit.
http://garden.org/plants/searc...
Hope it helps.
